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Geometric properties of functions containing derivatives of Bessel function     
Yazarlar
Kamaljeet Gangania
Institute of Innovation in Technology & Management, India
Sercan Kazımoğlu
Kafkas Üniversitesi, Turkey
Özet
Let Jξ(z) denotes the Bessel function of the first kind of order ξ. For three different kinds of normalizations of Nξ(z)=az2Jξ″(z)+bzJξ′(z)+cJξ(z), we find the radius for Ma–Minda classes: S∗φ-radii and Cφ-radii. We further establish the radii of γ-spirallike of order α and convex γ-spirallike of order α of these normalized functions. As an application of our results, we derive sufficient conditions for the Nξ(z) to be a member of the unified subclasses of starlike and convex functions. The obtained radii are sharp.
Anahtar Kelimeler
30C15 | 30C45 | Bessel functions | Ma–Minda classes | Radius problems | Starlikeness and convexity | γ-Spirallike functions
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF ANALYSIS
Dergi ISSN 0971-3611
Makale Dili İngilizce
Basım Tarihi 03-2024
Sayı 1
Doi Numarası 10.1007/s41478-024-00737-0